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Finding the Fourth Proportional to 2,522.34, 3,484.16 and 2,104.08

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Solution

The fourth proportional to 2,522.34, 3,484.16 and 2,104.08 is: 2,906.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,522.34 : 3,484.16 = 2,104.08 : x
  2. Step 2: Convert to fraction form
    2,522.34/3,484.16 = 2,104.08/x
  3. Step 3: Cross multiply
    2,522.34x = 3,484.16 × 2,104.08
  4. Step 4: Simplify right side
    2,522.34x = 7,330,947.51
  5. Step 5: Solve for x
    x = 7,330,947.51/2,522.34
  6. Step 6: Final answer
    x = 2,906.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.